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Friday, June 3, 2011

Geometry objective Questions Fully Solved For Exams

Geometry objective Questions Fully Solved For Exams
Geometry objective test Free Online Exams preperation help
Geometry Multiple Choice Practice Questions
1. Two circles are congruent if and only if they have equal
(a) chords
(c) shapes
(b) tangents
(d) radii
Ans. (d)


2. If two medians of a triangle are equal in length, then the triangle is
(a) right angled but not isosceles
(b) isosceles but not right angle
(c) right angled isosceles
(d) equilateral
Ans. (b)

3. The sum of the exterior angles of a hexagon is
(a) 360°
(b) 540°
(c) 720°
(d) none of these
Ans. (a)

4. The sides of a triangle are 5cm, 6cm and 7cm. One more ∆ is formed by joining the
mid points of the sides. The perimeter of the second ∆ is
(a) 18 cm
(b) 12 cm
(c) 9 cm
(d) 6cm
Ans. (c)

5. The sum of all the angles of a pentagon is
(a) 360°
(b) 540°
(c) 720°
(d) none of these
Ans. (b)

6. The angle which is twice its supplement is
(a) 120°
(b) 90°
(c) 60°
(d) 30°
Ans. (a)


7. The sum of the acute angles of an obtuse triangle is 70° and their difference is 10°.
The largest angle is
(a) 110°
(b) 105°
(c) 100°
(d) 95°
Ans. (a)

8. The angle which is one fifth of its complement
(a) 15°
(b) 30°
(c) 45°
(d) 60°
Ans. (a)


9. The angles of a triangle, in ascending order, are x, y, z and y – x = z – y = 100. The
smallest angle is
(a) 40°
(b) 60°
(c) 50°
(d) 70°
Ans. (c)

10. If two parallel lines are intersected by a transverse line, then the bisectors of the
interior angles forms a
(a) square
(b) rectangle
(c) parallelogram
(d) trapezium
Ans. (b)


11. If the angle in a major segment is x and in a minor segment is y, then
(a) x = y
(b) x > y
(c) x + y = 180°
(d) x < y
Ans. (d)

12. In a regular polygon, each exterior angle is twice the interior angle, then the number
of sides will be
(a) 4
(b) 3
(c) 5
(d) 6
Ans. (b)


13. The number of sides of a regular polygon, if each of its interior angles is 135°, is
given by
(a) 4
(b) 6
(c) 8
(d) 10
Ans. (c)


14. The ratio of the sides of two regular polygons is 1: 2 and their interior angles is 3: 4,
then the number of sides in each polygon is
(a) 5, 10
(b) 9, 12
(c) 10, 5
(d) 5, 12
Ans. (a)

15. Any cyclic parallelogram is a
(a) rectangle
(b) rhombus
(c) trapezium
(d) square
Ans. (a)


16. If two medians of a triangle are equal, triangle is
(a) right angled
(b) isosceles
(c) equilateral
(d) scalene
Ans. (b)

17. If the bases of two similar triangles are in the ratio of 2 : 3, then their areas are in the
ratio of
(a) 2: 3
(b) 3 : 2
(c) 4 : 9
(d) 9 : 4
Ans. (c)

18. If the sides of a triangle are in the ratio 4 :6 : 7, then the
(a) triangle is obtuse angled
(b) triangle is acute angled
(c) triangle is right angled
(d) none of these
Ans. (b)

19. In an equilateral triangle, the incentre, the orthocentre and the centroid are
(a) coincident
(b) collinear
(c) concyclic
(d) none of these
Ans. (a)


20. A circle is entirely in another circle. It is possible to draw
(a) only one common tangent
(b) two common tangents
(c) common tangent
(d) infinite number of tangents
Ans. (c)

21. A quadrilateral can be drawn, if the measures of its
(a) four sides are given
(b) three sides and a diagonal are given
(c) four sides and one angle are given
(d) four angles and one side are given
Ans. (c)

22. The orthocentre of an obtuse angled triangle lies
(a) outside the triangle
(b) inside the triangle
(c) on the smallest side of the triangle
(d) on the greatest side of the triangle
Ans. (a)

23. The angles of a pentagon in degrees are x, x +20, x + 40, x + 60 and x + 80, then the
smallest angle of the pentagon is
(a) 50°
(b) 68°
(c) 78°
(d) 85°
Ans. (b)

24. Each interior angle of a regular polygon lies between 136° and 142°, then the number
of sides of the polygon is
(a) 6
(b) 9
(c) 10
(d) 12
Ans. (b)


25. In an equiangular triangle incentre, circumcentre and orthocentre are
(a) collinear
(b) concyclic
(c) coincident
(d) none of these
Ans. (c)

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